V̇O
2 max (also maximal oxygen consumption, maximal oxygen uptake or maximal aerobic capacity) is the maximum rate of
oxygen consumption attainable during physical exertion.
The name is derived from three abbreviations: "V̇" for
volume
Volume is a measure of regions in three-dimensional space. It is often quantified numerically using SI derived units (such as the cubic metre and litre) or by various imperial or US customary units (such as the gallon, quart, cubic inch) ...
(the dot over the V indicates "per unit of time" in
Newton's notation), "O
2" for
oxygen
Oxygen is a chemical element; it has chemical symbol, symbol O and atomic number 8. It is a member of the chalcogen group (periodic table), group in the periodic table, a highly reactivity (chemistry), reactive nonmetal (chemistry), non ...
, and "max" for maximum and usually normalized per kilogram of body mass. A similar measure is V̇O
2 peak (peak oxygen consumption), which is the measurable value from a session of physical exercise, be it incremental or otherwise. It could match or underestimate the actual V̇O
2 max. Confusion between the values in older and popular fitness literature is common.
The capacity of the lung to exchange oxygen and carbon dioxide is constrained by the rate of
blood oxygen transport to active tissue.
The measurement of V̇O
2 max in the laboratory provides a quantitative value of endurance fitness for comparison of individual training effects and between people in
endurance training. Maximal oxygen consumption reflects
cardiorespiratory fitness and
endurance
Endurance (also related to sufferance, forbearance, resilience, constitution, fortitude, persistence, tenacity, steadfastness, perseverance, stamina, and hardiness) is the ability of an organism to exert itself and remain active for a ...
capacity in exercise performance. Elite athletes, such as
competitive distance runners,
racing cyclists or
Olympic cross-country skiers, can achieve V̇O
2 max values exceeding 90 mL/(kg·min), while some endurance animals, such as
Alaskan huskies, have V̇O
2 max values exceeding 200 mL/(kg·min).
In
physical training, especially in its academic literature, V̇O
2 max is often used as a reference level to quantify exertion levels, such as 65% V̇O
2 max as a threshold for sustainable exercise, which is generally regarded as more rigorous than
heart rate
Heart rate is the frequency of the cardiac cycle, heartbeat measured by the number of contractions of the heart per minute (''beats per minute'', or bpm). The heart rate varies according to the body's Human body, physical needs, including the nee ...
, but is more elaborate to measure.
Normalization per body mass
V̇O
2 max is expressed either as an absolute rate in (for example) litres of oxygen per minute (L/min) or as a relative rate in (for example) millilitres of oxygen per kilogram of the body
mass
Mass is an Intrinsic and extrinsic properties, intrinsic property of a physical body, body. It was traditionally believed to be related to the physical quantity, quantity of matter in a body, until the discovery of the atom and particle physi ...
per minute (e.g., mL/(kg·min)). The latter expression is often used to compare the performance of endurance sports athletes. However, V̇O
2 max generally does not vary linearly with body mass, either among individuals within a species or among species, so comparisons of the performance capacities of individuals or species that differ in body size must be done with appropriate statistical procedures, such as
analysis of covariance
Analysis of covariance (ANCOVA) is a general linear model that blends ANOVA and regression analysis, regression. ANCOVA evaluates whether the means of a dependent variable (DV) are equal across levels of one or more Categorical variable, categori ...
.
Measurement and calculation
Measurement

Accurately measuring V̇O
2 max involves a physical effort sufficient in duration and intensity to fully tax the aerobic energy system. In general clinical and athletic testing, this usually involves a graded exercise test in which exercise intensity is progressively increased while measuring:
*
ventilation
Ventilation may refer to:
* Ventilation (physiology), the movement of air between the environment and the lungs via inhalation and exhalation
** Mechanical ventilation, in medicine, using artificial methods to assist breathing
*** Respirator, a ma ...
and
* oxygen and carbon dioxide concentration of the inhaled and exhaled air.
V̇O
2 max is measured during a
cardiopulmonary exercise test (CPX test). The test is done on a
treadmill or
cycle ergometer. In untrained subjects, V̇O
2 max is 10% to 20% lower when using a cycle ergometer compared with a treadmill.
However, trained cyclists' results on the cycle ergometer are equal to or even higher than those obtained on the treadmill.
The classic V̇O
2 max, in the sense of Hill and Lupton (1923), is reached when oxygen consumption remains at a steady state ("plateau") despite an increase in workload. The occurrence of a plateau is not guaranteed and may vary by person and sampling interval, leading to modified protocols with varied results.
Calculation: the Fick equation
V̇O
2 may also be calculated by the
Fick equation:
, when these values are obtained during exertion at a maximal effort. Here ''Q'' is the
cardiac output
In cardiac physiology, cardiac output (CO), also known as heart output and often denoted by the symbols Q, \dot Q, or \dot Q_ , edited by Catherine E. Williamson, Phillip Bennett is the volumetric flow rate of the heart's pumping output: tha ...
of the heart, ''C
a''O
2 is the arterial oxygen content, and ''C
v''O
2 is the venous oxygen content. (''C
a''O
2 – ''C
v''O
2) is also known as the
arteriovenous oxygen difference
The arteriovenous oxygen difference, or a-vO2 diff, is the difference in the oxygen content of the blood between the arterial blood and the venous blood. It is an indication of how much oxygen is removed from the blood in capillaries as the blood ...
.
The Fick equation may be used to measure V̇O
2 in critically ill patients, but its usefulness is low even in non-exerted cases. Using a breath-based VO
2 to estimate cardiac output, on the other hand, seems to be reliable enough.
Estimation using submaximal exercise testing
The necessity for a subject to exert maximum effort in order to accurately measure V̇O
2 max can be dangerous in those with compromised respiratory or cardiovascular systems; thus,
sub-maximal tests for ''estimating'' V̇O
2 max have been developed.
The heart rate ratio method
An estimate of V̇O
2 max is based on maximum and resting heart rates. In the Uth ''et al.'' (2004) formulation, it is given by:
:
This equation uses the ratio of maximum heart rate (HR
max) to resting heart rate (HR
rest) to predict V̇O
2 max. The researchers cautioned that the conversion rule was based on measurements on well-trained men aged 21 to 51 only, and may not be reliable when applied to other sub-groups. They also advised that the formula is most reliable when based on actual measurement of maximum heart rate, rather than an age-related estimate.
The Uth constant factor of 15.3 is given for well-trained men.
Later studies have revised the constant factor for different populations. According to Voutilainen ''et al.'' 2020, the constant factor should be 14 in around 40-year-old normal weight never-smoking men with no cardiovascular diseases, bronchial asthma, or cancer.
Every 10 years of age reduces the coefficient by one, as well as does the change in body weight from normal weight to obese or the change from never-smoker to smoker. Consequently, V̇O
2 max of 60-year-old obese smoking men should be estimated by multiplying the HR
max to HR
rest ratio by 10.
Cooper test
Kenneth H. Cooper conducted a study for the
United States Air Force
The United States Air Force (USAF) is the Air force, air service branch of the United States Department of Defense. It is one of the six United States Armed Forces and one of the eight uniformed services of the United States. Tracing its ori ...
in the late 1960s. One of the results of this was the
Cooper test in which the distance covered running in 12 minutes is measured. Based on the measured distance, an estimate of V̇O
2 max
n mL/(kg·min)can be calculated by inverting the linear regression equation, giving us:
:
where ''d''
12 is the distance (in metres) covered in 12 minutes.
An alternative equation is:
:
where ''d''′
12 is distance (in miles) covered in 12 minutes.
Multi-stage fitness test
There are several other reliable tests and V̇O
2 max calculators to estimate V̇O
2 max, most notably the
multi-stage fitness test (or ''beep'' test).
Rockport fitness walking test
Estimation of V̇O
2 max from a timed one-mile track walk (as fast as possible) in decimal minutes (, e.g.: 20:35 would be specified as 20.58), sex, age in years, body weight in pounds (, lbs), and 60-second heart rate in beats-per-minute (, bpm) at the end of the mile. The constant is 6.3150 for males, 0 for females.
:
Correlation coefficient
A correlation coefficient is a numerical measure of some type of linear correlation, meaning a statistical relationship between two variables. The variables may be two columns of a given data set of observations, often called a sample, or two c ...
for the generalized formula is 0.88.
Reference values
Men have a V̇O
2 max that is 26% higher (6.6 mL/(kg·min)) than women for treadmill and 37.9% higher (7.6 mL/(kg·min)) than women for cycle ergometer on average.
[ V̇O2 max is on average 22% higher (4.5 mL/(kg·min)) when measured using a treadmill compared with a cycle ergometer.][
]
Effect of training
Non-athletes
The average untrained healthy male has a V̇O2 max of approximately 35–40 mL/(kg·min). The average untrained healthy female has a V̇O2 max of approximately 27–31 mL/(kg·min). These scores can improve with training and decrease with age, though the degree of trainability also varies widely.
Athletes
In sports where endurance is an important component in performance, such as road cycling, rowing
Rowing is the act of propelling a human-powered watercraft using the sweeping motions of oars to displace water and generate reactional propulsion. Rowing is functionally similar to paddling, but rowing requires oars to be mechanically a ...
, cross-country skiing
Cross-country skiing is a form of skiing whereby skiers traverse snow-covered terrain without use of ski lifts or other assistance. Cross-country skiing is widely practiced as a sport and recreational activity; however, some still use it as a m ...
, swimming, and long-distance running
Long-distance running, or endurance running, is a form of continuous running over distances of at least . Physiologically, it is largely aerobic in nature and requires stamina as well as mental strength.
Within endurance running come two di ...
, world-class athletes typically have high V̇O2 max values. Elite male runners can consume up to 85 mL/(kg·min), and female elite runners can consume about 77 mL/(kg·min).[Noakes, Tim (2001). ''The Lore of Running''. (3rd edition) ]Oxford University Press
Oxford University Press (OUP) is the publishing house of the University of Oxford. It is the largest university press in the world. Its first book was printed in Oxford in 1478, with the Press officially granted the legal right to print books ...
Norwegian cyclist Oskar Svendsen holds the record for the highest V̇O2 ever tested with 97.5 mL/(kg·min).
Animals
V̇O2 max has been measured in other animal species. During loaded swimming, mice had a V̇O2 max of around 140 mL/(kg·min). Thoroughbred horses had a V̇O2 max of around 193 mL/(kg·min) after 18 weeks of high-intensity training. Alaskan huskies running in the Iditarod Trail Sled Dog Race
The Iditarod Trail Sled Dog Race, more commonly known as The Iditarod (), is an annual long-distance sled dog race held in Alaska in early March. It travels from Anchorage to Nome. Mushers and a team of between 12 and 16 dogs, of which at lea ...
had V̇O2 max values as high as 240 mL/(kg·min). Estimated V̇O2 max for pronghorn antelopes was as high as 300 mL/(kg·min).
Limiting factors
The factors affecting V̇O2 may be separated into supply and demand. Supply is the transport of oxygen from the lungs to the mitochondria
A mitochondrion () is an organelle found in the cells of most eukaryotes, such as animals, plants and fungi. Mitochondria have a double membrane structure and use aerobic respiration to generate adenosine triphosphate (ATP), which is us ...
(combining pulmonary function, cardiac output
In cardiac physiology, cardiac output (CO), also known as heart output and often denoted by the symbols Q, \dot Q, or \dot Q_ , edited by Catherine E. Williamson, Phillip Bennett is the volumetric flow rate of the heart's pumping output: tha ...
, blood volume
Blood volume (volemia) is the volume of blood ( blood cells and plasma) in the circulatory system of any individual.
Humans
A typical adult has a blood volume of approximately 5 liters, with females and males having approximately the same blood p ...
, and capillary density of the skeletal muscle) while demand is the rate at which the mitochondria can reduce oxygen in the process of oxidative phosphorylation
Oxidative phosphorylation(UK , US : or electron transport-linked phosphorylation or terminal oxidation, is the metabolic pathway in which Cell (biology), cells use enzymes to Redox, oxidize nutrients, thereby releasing chemical energy in order ...
. Of these, the supply factors may be more limiting. However, it has also been argued that while trained subjects are probably supply limited, untrained subjects can indeed have a demand limitation.
General characteristics that affect V̇O2 max include age, sex, fitness and training, and altitude. V̇O2 max can be a poor predictor of performance in runners due to variations in running economy
Running economy (RE) a complex, multifactorial concept that represents the sum of metabolic, cardiorespiratory, biomechanical and neuromuscular efficiency during running. Oxygen consumption (VO2) is the most commonly used method for measuring run ...
and fatigue
Fatigue is a state of tiredness (which is not sleepiness), exhaustion or loss of energy. It is a signs and symptoms, symptom of any of various diseases; it is not a disease in itself.
Fatigue (in the medical sense) is sometimes associated wit ...
resistance during prolonged exercise. The body works as a system. If one of these factors is sub-par, then the whole system's normal capacity is reduced.
The drug erythropoietin
Erythropoietin (; EPO), also known as erythropoetin, haematopoietin, or haemopoietin, is a glycoprotein cytokine secreted mainly by the kidneys in response to cellular hypoxia; it stimulates red blood cell production ( erythropoiesis) in th ...
(EPO) can boost V̇O2 max by a significant amount in both humans and other mammals. This makes EPO attractive to athletes in endurance sports, such as professional cycling. EPO has been banned since the 1990s as an illicit performance-enhancing substance
Performance-enhancing substances (PESs), also known as performance-enhancing drugs (PEDs), are substances that are used to improve any form of activity performance in humans.
Many substances, such as anabolic steroids, can be used to improve ath ...
, but by 1998 it had become widespread in cycling and led to the Festina affair as well as being mentioned ubiquitously in the USADA 2012 report on the U.S. Postal Service Pro Cycling Team. Greg LeMond
Gregory James LeMond (born June 26, 1961) is an American former Road bicycle racing, road racing cyclist. He won the Tour de France thrice and the UCI Road World Championships – Men's road race, Road Race World Championship twice, becoming t ...
has suggested establishing a baseline for riders' V̇O2 max (and other attributes) to detect abnormal performance increases.
Clinical use to assess cardiorespiratory fitness and mortality
V̇O2 max/peak is widely used as an indicator of cardiorespiratory fitness (CRF) in select groups of athletes or, rarely, in people under assessment for disease risk. In 2016, the American Heart Association
The American Heart Association (AHA) is a nonprofit organization in the United States that funds cardiovascular medical research, educates consumers on healthy living and fosters appropriate Heart, cardiac care in an effort to reduce disability ...
(AHA) published a scientific statement recommending that CRF quantifiable as V̇O2 max/peak be regularly assessed and used as a clinical vital sign; ergometry (exercise wattage measurement) may be used if V̇O2 is unavailable. This statement was based on evidence that lower fitness levels are associated with a higher risk of cardiovascular disease, all-cause mortality, and mortality rates.[ In addition to risk assessment, the AHA recommendation cited the value for measuring fitness to validate ]exercise prescription
Exercise prescription commonly refers to the specific plan of fitness-related activities that are designed for a specified purpose, which is often developed by a fitness or rehabilitation, or Exercise medicine specialist for the client or patient ...
s, physical activity
Physical activity is defined as any voluntary movement produced by skeletal muscles that requires energy expenditure.Global Recommendations on Physical Activity for Health, 2009. World Health Organization. Geneva, Switzerland. Accessed 13/07/2018 ...
counseling, and improve both management and health of people being assessed.[
A 2023 ]meta-analysis
Meta-analysis is a method of synthesis of quantitative data from multiple independent studies addressing a common research question. An important part of this method involves computing a combined effect size across all of the studies. As such, th ...
of observational cohort studies
A cohort study is a particular form of longitudinal study that samples a cohort (a group of people who share a defining characteristic, typically those who experienced a common event in a selected period, such as birth or graduation), performing ...
showed an inverse and independent association between V̇O2 max and all-cause mortality risk.[ Every one metabolic equivalent increase in estimated cardiorespiratory fitness was associated with an 11% reduction in mortality.][ The top third of V̇O2 max scores represented a 45% lower mortality in people compared with the lowest third.]
As of 2023, V̇O2 max is rarely employed in routine clinical practice to assess cardiorespiratory fitness or mortality due to its considerable demand for resources and costs.
History
British physiologist Archibald Hill introduced the concepts of maximal oxygen uptake and oxygen debt in 1922. Hill and German physician Otto Meyerhof shared the 1922 Nobel Prize in Physiology or Medicine
The Nobel Prize in Physiology or Medicine () is awarded yearly by the Nobel Assembly at the Karolinska Institute for outstanding discoveries in physiology or medicine. The Nobel Prize is not a single prize, but five separate prizes that, acco ...
for their independent work related to muscle energy metabolism. Building on this work, scientists began measuring oxygen consumption during exercise. Key contributions were made by Henry Taylor at the University of Minnesota
The University of Minnesota Twin Cities (historically known as University of Minnesota) is a public university, public Land-grant university, land-grant research university in the Minneapolis–Saint Paul, Twin Cities of Minneapolis and Saint ...
, Scandinavian scientists Per-Olof Åstrand
Per-Olof Åstrand (21 October 1922 – 2 January 2015) was a Swedish professor of physiology at the Swedish School of Sport and Health Sciences (GIH) in Stockholm 1970–1977, and 1977–1988 at the Karolinska Institute in Stockholm, Sweden, and ...
and Bengt Saltin in the 1950s and 60s, the Harvard Fatigue Laboratory, German universities, and the Copenhagen Muscle Research Centre.
See also
*Anaerobic exercise
Anaerobic exercise is a type of exercise that breaks down glucose in the body without using oxygen; ''anaerobic'' means "without oxygen". This type of exercise leads to a buildup of lactic acid.
In practical terms, this means that anaerobic exe ...
*Arteriovenous oxygen difference
The arteriovenous oxygen difference, or a-vO2 diff, is the difference in the oxygen content of the blood between the arterial blood and the venous blood. It is an indication of how much oxygen is removed from the blood in capillaries as the blood ...
* Cardiorespiratory fitness
*Comparative physiology
Comparative physiology is a subdiscipline of physiology that studies and exploits the diversity of functional characteristics of various kinds of organisms. It is closely related to evolutionary physiology and environmental physiology. Many ...
* Oxygen pulse
* Respirometry
*Running economy
Running economy (RE) a complex, multifactorial concept that represents the sum of metabolic, cardiorespiratory, biomechanical and neuromuscular efficiency during running. Oxygen consumption (VO2) is the most commonly used method for measuring run ...
* Training effect
* VDOT
* vVO2max
References
{{DEFAULTSORT:Vo2 Max
Exercise biochemistry
Sports terminology
Respiratory physiology